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Simplifying 5x + 2(11 + -4x) = 82 + 2 5x + (11 * 2 + -4x * 2) = 82 + 2 5x + (22 + -8x) = 82 + 2 Reorder the terms: 22 + 5x + -8x = 82 + 2 Combine like terms: 5x + -8x = -3x 22 + -3x = 82 + 2 Combine like terms: 82 + 2 = 84 22 + -3x = 84 Solving 22 + -3x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -3x = 84 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 84 + -22 -3x = 84 + -22 Combine like terms: 84 + -22 = 62 -3x = 62 Divide each side by '-3'. x = -20.66666667 Simplifying x = -20.66666667
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